Anatoly Yakovlevich Dorogovtsev (September 7, 1935–April 22, 2004)

Translated by:
V. Zaiats

Journal:
Theor. Probability and Math. Statist. **71** (2005), 191-199

DOI:
https://doi.org/10.1090/S0094-9000-06-00658-2

Published electronically:
January 4, 2006

Full-text PDF Free Access

References | Additional Information

- A. Ja. Dorogovcev,
*Statistical analysis of a difference stochastic equation*, Selected Transl. Math. Statist. and Prob., Vol. 3, Amer. Math. Soc., Providence, R.I., 1962, pp. 315–319. MR**0154364** - A. Ja. Dorogovcev,
*Confidence intervals associated with the evaluation of parameters*, Selected Transl. Math. Statist. and Prob., Vol. 3, Amer. Math. Soc., Providence, R.I., 1962, pp. 321–325. MR**0154363** - A. Ja. Dorogovcev,
*Remarks on random processes generated by certain differential equations*, Dopovidi Akad. Nauk Ukraïn. RSR**1962**(1962), 850–853 (Ukrainian, with Russian and English summaries). MR**0143250** - A. Ja. Dorogovcev,
*Some remarks on the extrapolation of processes generated by differential equations*, Dopovidi Akad. Nauk Ukraïn. RSR**1962**(1962), 1006–1010 (Ukrainian, with Russian and English summaries). MR**0143005** - A. Ja. Dorogovcev,
*Some remarks on differential equations perturbed by periodic random processes*, Ukrain. Mat. Ž.**14**(1962), 119–128 (Russian, with English summary). MR**0141850** - A. Ja. Dorogovcev,
*Correlation functions of vector processes satisfying a certain differential equation*, Ukrain. Mat. Ž.**14**(1962), 322–325 (Russian). MR**0155351** - A. Ya. Dorogovtsev,
*Statistical Problems for a Class of Non-Stationary Random Processes*, Candidate dissertation, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1962. (Russian) - A. Ya. Dorogovtsev,
*Some remarks on the processes generated by some differential processes*, Vestnik Kiev University, Ser. Mat. Mekh.**5**(1963), 124–146. (Russian) - A. Ja. Dorogovcev,
*Problems of linear extrapolation for a class of vector processes*, Ukrain. Mat. Ž.**16**(1964), 830–834 (Russian). MR**0172330** - I. I. Gihman and A. Ja. Dorogovcev,
*On the stability of solutions of stochastic differential equations.*, Ukrain. Mat. Ž.**17**(1965), no. 6, 3–21 (Russian). MR**0281278** - A. Ja. Dorogovcev,
*Certain problems of optimal control of a regression experiment*, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A**1968**(1968), 1067–1072 (Ukrainian, with Russian and English summaries). MR**0247659** - A. Ja. Dorogovcev,
*An application of dynamic programming methods to the study of a certain problem of technical servicing*, Teor. Verojatnost. i Mat. Statist.**1970**(1970), no. vyp. 1, 74–85 (Russian). MR**0280176** - A. Ja. Dorogovcev,
*The design of a regression experiment*, Teor. Verojatnost. i Mat. Statist. Vyp.**3**(1970), 56–61 (Russian, with English summary). MR**0283928** - A. Ja. Dorogovcev,
*A certain non-parametric estimator of the regression function*, Teor. Verojatnost. i Mat. Statist. Vyp.**4**(1971), 61–64 (Russian, with English summary). MR**0288918** - V. V. Breĭ, A. Ja. Dorogovcev, O. A. Makoveckiĭ, and L. V. Pogorelyĭ,
*The optimal choice of a rarefaction interval*, Teor. Verojatnost. i Mat. Statist.**7**(1972), 14–22, 162 (Russian, with English summary). MR**0343356** - V. V. Breĭ, L. V. Pogorelyĭ, and A. Ja. Dorogovcev,
*Determination of the characteristics of a certain nonstationary process*, Vyčisl. Prikl. Mat. (Kiev)**19**(1973), 137–142, 160 (Russian, with English summary). MR**0341584** - A. Ja. Dorogovcev and Ju. V. Kartašev,
*The estimation of the mean value of a stationary process when there is a given time of observation. I*, Teor. Verojatnost. i Mat. Statist.**Vyp. 8**(1973), 50–58, 175 (Russian, with English summary). MR**0426335** - A. Ja. Dorogovcev,
*The estimation of an almost periodic signal from observation in a stationary noise*, Questions of statistics and of the control of random processes (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, pp. 74–105 (Russian). MR**0433767** - A. Ja. Dorogovcev,
*Remarks on the properties of a certain least squares estimator*, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A (1973), 585–590, 667 (Ukrainian, with English and Russian summaries). MR**0331679** - A. Ya. Dorogovtsev and K. P. Makarenko,
*On least squares estimates of parameters of a certain nonlinear system*, Issled. Operatsiĭ ASU**2**(1973), 42–52. (Russian) - A. Ja. Dorogovcev and Ju. V. Kartašev,
*The estimation of the mean value of a stationary process in the case of given duration of observation time. II*, Teor. Verojatnost. i Mat. Statist.**Vyp. 9**(1973), 73–81, 175 (Russian, with English summary). MR**0426336** - A. Ja. Dorogovcev,
*The existence and convergence of the moments of the least square estimator in a nonlinear autoregression model*, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A (1973), 1066–1071, 1149 (Ukrainian, with English and Russian summaries). MR**0331680** - A. Ja. Dorogovcev,
*Estimation of the probability of small values of sums of positive random variables*, Teor. Verojatnost. i Mat. Statist.**Vyp. 9**(1973), 66–72, 175 (Russian, with English summary). MR**0413231** - A. Ja. Dorogovcev,
*The asymptotic properties of least square estimators for regression coefficients*, Problemy Peredači Informacii**9**(1973), no. 4, 49–57 (Russian). MR**0348949** - A. Ya. Dorogovtsev and Yu. V. Kartashev,
*On an estimate of the mean value of a stationary process for a given size of a sample*, Theory Probab. Appl.**XVIII**(1973), no. 4, 871. (Russian) - A. Ja. Dorogovcev,
*The estimation of an almost periodic signal from observation in a stationary noise*, Questions of statistics and of the control of random processes (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, pp. 74–105 (Russian). MR**0433767** - A. Ja. Dorogovcev,
*Consistency of a certain estimate of the parameter of a stochastic differential equation*, Teor. Verojatnost. i Mat. Statist.**Vyp. 10**(1974), 72–81, 175 (Russian, with English summary). MR**0428646** - A. Ja. Dorogovcev and Ju. V. Kartašev,
*Least square estimations of the regression coefficient of a random process with prescribed observation time*, Teor. Verojatnost. i Mat. Statist.**Vyp. 10**(1974), 82–87, 175 (Russian, with English summary). MR**0423717** - A. Ja. Dorogovcev,
*Asymptotic properties of estimators of the parameters of a signal that is amplitude modulated by a random process*, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A (1974), 680–684, 763 (Ukrainian, with English and Russian summaries). MR**0348950** - A. Ja. Dorogovcev,
*The estimation of the mean value of a stationary process in the case of restricted possibilities of observation*, Dokl. Akad. Nauk SSSR**214**(1974), 261–263 (Russian). MR**0341784** - A. Ya. Dorogovtsev,
*Asymptotic properties of least squares estimates for a non-linear autoregressive model*, Teoriya Sluchainyh Processov**2**(1974), 47–54. (Russian) - A. Ja. Dorogovcev,
*Consistent estimation of a discrete signal on the basis of observation with random errors*, Teor. Verojatnost. i Mat. Statist.**11**(1974), 26–34, 178 (Russian, with English summary). MR**0394996** - A. Ja. Dorogovcev,
*A certain property of the estimate of an almost periodic signal*, Teor. Verojatnost. i Mat. Statist.**Vyp. 11**(1974), 35–38, 178 (Russian, with English summary). MR**0405757** - A. Ja. Dorogovcev,
*The asymptotic behavior of estimates of the parameters of a certain nonlinear system*, Kibernetika (Kiev)**4**(1974), 72–77 (Russian, with English summary). MR**394995** - A. Ja. Dorogovcev,
*On an estimate of a periodic signal on the basis of observations with stationary noise*, Vīsnik Kiïv. Unīv. Ser. Mat. Meh.**16**(1974), 10–25, 172 (Ukrainian, with English and Russian summaries). MR**0455240** - A. Ja. Dorogovcev,
*The consistency of a certain estimate of the regression function*, Teor. Verojatnost. i Mat. Statist.**Vyp. 12**(1975), 36–44, 171 (Russian, with English summary). MR**0397973** - A. Ja. Dorogovcev,
*Properties of parameter estimators in a certain linear regression model*, Vīsnik Kiïv. Unīv. Ser. Mat. Meh.**17**(1975), 3–12, 176 (Ukrainian, with English and Russian summaries). MR**0433768** - A. Ja. Dorogovcev and T. A. Šermet′eva,
*The consistency of an estimate of a transition function*, Theory of random processes, Questions of statistics and control (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev., 1974, pp. 30–39 (Russian). MR**0488576** - A. Ja. Dorogovcev,
*On the limit distribution of an estimate for a regression function*, Teor. Verojatnost. i Mat. Statist.**Vyp. 13**(1975), 38–46, 161 (Russian, with English summary). MR**0418326** - G. P. Grečka and A. Ja. Dorogovcev,
*The asymptotic properties of the periodogram estimate of the frequency and amplitude of a harmonic oscillation*, Vyčisl. Prikl. Mat. (Kiev)**Vyp. 28**(1976), 18–31, 150 (Russian, with English summary). MR**0451587** - A. Ja. Dorogovcev,
*On an assertion that is useful in proving the consistency of estimators*, Teor. Verojatnost. i Mat. Statist.**Vyp. 14**(1976), 34–41, 154 (Russian, with English summary). MR**0415835** - A. Ja. Dorogovcev,
*On the consistency of nonparametric estimators of a regression function*, Teor. Verojatnost. i Mat. Statist.**Vyp. 15**(1976), 47–53, 154. MR**0418327** - A. Ja. Dorogovcev,
*Remarks on the properties of a certain nonparametric maximum likelihood estimate*, Mathematics collection (Russian), Izdat. “Naukova Dumka”, Kiev, 1976, pp. 262–268 (Russian). MR**0468076** - A. Ja. Dorogovcev,
*Properties of the nonparametric estimator of the translation coefficient of the simplest stochastic differential equation*, Theory of random processes, No. 4 (Russian), Izdat. “Naukova Dumka”, Kiev, 1976, pp. 51–59, 117 (Russian). MR**0423665** - A. Ja. Dorogovcev and P. S. Knopov,
*On the properties of an estimator for the parameters of a nonstationary Gaussian regression of a random field*, Teor. Verojatnost. i Mat. Statist.**Vyp. 15**(1976), 54–67, 155 (Russian, with English summary). MR**0431564** - G. P. Grečka and A. Ja. Dorogovcev,
*The properties of periodogram estimation of frequency*, Vīsnik Kiïv. Unīv. Ser. Mat. Meh.**18**(1976), 120–122, 145 (Ukrainian, with English and Russian summaries). MR**0494764** - A. Ja. Dorogovcev and P. S. Knopov,
*The consistency of estimates of a function continuous in a domain that are based on observations at a finite set of points of its range of values with random errors*, Dokl. Akad. Nauk Ukrain. SSR Ser. A**12**(1976), 1065–1069, 1140 (Russian, with English summary). MR**0433681** - A. Ja. Dorogovcev and P. S. Knopov,
*An estimate of a two-dimensional signal from observations with additive random noise*, Teor. Verojatnost. i Mat. Statist.**Vyp. 17**(1977), 61–79, 164 (Russian, with English summary). MR**0468077** - A. Ja. Dorogovcev and P. S. Knopov,
*Asymptotic properties of a nonparametric estimate of a function of two variables*, Theory of random processes, No. 5 (Russian), Izdat. “Naukova Dumka”, Kiev, 1977, pp. 27–35, 112 (Russian). MR**0468016** - A. Ja. Dorogovcev,
*Properties of estimates of parameters of linear Gaussian regression in the discrete case*, Vyčisl. Prikl. Mat. (Kiev)**Vyp. 31**(1977), 136–147, 159 (Russian, with English summary). MR**0501671** - A. Ja. Dorogovcev,
*On the convergence of the extremum-points of convergent sequences of random functionals*, Dokl. Akad. Nauk Ukrain. SSR Ser. A**7**(1977), 581–584, 669 (Russian, with English summary). MR**0494627** - A. Ya. Dorogovtsev,
*Studies in the Theory of Estimation of Parameters of Random Processes*, Doctoral dissertation, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1977. (Russian) - A. Ja. Dorogovcev and M. I. Judickiĭ,
*Models with random errors in variables. Estimation of parameters and design of experiments*, Teor. Verojatnost. i Mat. Statist.**19**(1978), 51–57, 157 (Russian, with English summary). MR**0518967** - A. Ja. Dorogovcev and P. S. Knopov,
*The weak convergence of a sequence of two-parameter martingales*, Dokl. Akad. Nauk Ukrain. SSR Ser. A**8**(1978), 675–679, 767 (Russian, with English summary). MR**510436** - A. Ya. Dorogovtsev, D. S. Silvestrov, A. V. Skorokhod, and M. I. Yadrenko,
*Probability theory: collection of problems*, Translations of Mathematical Monographs, vol. 163, American Mathematical Society, Providence, RI, 1997. Translated from the 1976 Ukrainian original by O. I. Klesov and V. A. Kotov. MR**1444579** - A. Ya. Dorogovtsev,
*On a problem of determining an unbiased linear estimator with minimal variance*, Teor. Veroyatnost. i Mat. Statist.**22**(1980), 52–57; English transl. in Theory Probab. Math. Statist.**22**(1981), 57–62. - N. A. Germanov and A. Ja. Dorogovcev,
*Estimation of the parameters of an autoregressive process with nonidentically distributed disturbances*, Dokl. Akad. Nauk Ukrain. SSR Ser. A**7**(1980), 14–16, 96 (Russian, with English summary). MR**582843** - A. Ja. Dorogovcev and A. A. Kurčenko,
*Application of a problem of minimization in a Hilbert space to a determination of the best linear estimations*, Teor. Veroyatnost. i Mat. Statist.**23**(1980), 47–51, 148 (Russian, with English summary). MR**614575** - A. Ya. Dorogovtsev and A. A. Kurčenko,
*The best linear estimate of trend parameters in the presence of errors of white noise type*, Teor. Veroyatnost. i Mat. Statist.**24**(1981), 27–34, 151 (Russian, with English summary). MR**628425** - A. Ya. Dorogovtsev, A. A. Kurčenko, and A. G. Kukush,
*A new case for the existence of linear unbiased estimates*, Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Nauk**3**(1981), 23–29, 97 (Russian). MR**628914** - A. Ya. Dorogovtsev,
*Teoriya otsenok parametrov sluchaĭ nykh protsessov*, “Vishcha Shkola”, Kiev, 1982 (Russian). MR**668517** - A. Ya. Dorogovtsev,
*Stability of bounded and stationary solutions of equations with an operator coefficient subject to perturbations*, Mathematics today ’97, No. 11 (Russian), Nauchn. Izdat. “TViMS”, Kiev, 1997, pp. 43–52 (Russian). MR**1632323** - A. Ya. Dorogovtsev,
*Estimation of the mean value parameter in a Hilbert space*, Theory of random processes, No. 11, “Naukova Dumka”, Kiev, 1983, pp. 28–31 (Russian). MR**711232** - A. Ya. Dorogovtsev and Yu. G. Kondrat′ev,
*Some problems of infinite-dimensional analysis and their application*, Vīsnik Kiïv. Unīv. Ser. Mat. Mekh.**25**(1983), 55–70 (Ukrainian, with Russian summary). MR**746765** - A. Ya. Dorogovtsev and A. G. Kukush,
*Optimal choice of the observation mode in a problem of estimation of the mean*, Teor. Veroyatnost. i Mat. Statist.**30**(1984), 38–45, 150 (Russian). MR**800828** - A. Ya. Dorogovtsev,
*Convergence of certain integrals with respect to a Gaussian measure in a Hilbert space*, Dokl. Akad. Nauk Ukrain. SSR Ser. A**5**(1985), 7–8 (Russian, with English summary). MR**796167** - A. Ya. Dorogovtsev, S. D. Īvasishen, and A. G. Kukush,
*Asymptotic behavior of solutions of the heat equation with white noise in the right-hand side*, Ukrain. Mat. Zh.**37**(1985), no. 1, 13–20, 133 (Russian). MR**780908** - A. Ya. Dorogovtsev,
*The asymptotic behavior of solutions of the Cauchy problem for an abstract stochastic differential equation*, Uspekhi Mat. Nauk**41**(1986), no. 4, 159–160. (Russian) - A. Ya. Dorogovtsev, N. Zerek, and A. G. Kukush,
*Asymptotic properties of estimates of nonlinear regression in Hilbert space*, Teor. Veroyatnost. i Mat. Statist.**35**(1986), 36–43, 122 (Russian). MR**885663** - A. Ya. Dorogovtsev,
*Mathematical Analysis*, A collection of problems, “Vyshcha Shkola”, Kiev, 1987. (Russian) - A. Ya. Dorogovtsev, N. Zerek, and A. G. Kukush,
*Weak convergence to the normal distribution of an estimator for an infinite-dimensional parameter*, Teor. Veroyatnost. i Mat. Statist.**37**(1987), 39–46, 135 (Russian). MR**913908** - N. A. Denis′evskiĭ and A. Ya. Dorogovtsev,
*On the law of large numbers for a linear process in a Banach space*, Dokl. Akad. Nauk SSSR**295**(1987), no. 2, 276–279 (Russian); English transl., Soviet Math. Dokl.**36**(1988), no. 1, 47–50. MR**902681** - A. Ya. Dorogovtsev,
*The existence of periodic solutions of an abstract stochastic equation. The asymptotic periodicity of solutions of the Cauchy problem*, Uspekhi Mat. Nauk**42**(1987), no. 4, 160. (Russian) - A. Ya. Dorogovtsev, S. D. Īvasishen, and A. G. Kukush,
*On the asymptotic behaviour of the linear stochastic heat equation solutions*, Probability theory and mathematical statistics, Vol. I (Vilnius, 1985) VNU Sci. Press, Utrecht, 1987, pp. 419–431. MR**901501** - A. Ya. Dorogovtsev and A. G. Kukush,
*Asymptotic behavior of the solution of the Cauchy problem for a stochastic equation of parabolic type*, Ukrain. Mat. Zh.**40**(1988), no. 2, 162–169, 270 (Russian); English transl., Ukrainian Math. J.**40**(1988), no. 2, 136–142. MR**941500**, DOI https://doi.org/10.1007/BF01056468 - A. Ya. Dorogovtsev and A. G. Kukush,
*On the limiting distribution of extremum points for certain stochastic optimization models*, Stochastic optimization (Kiev, 1984) Lect. Notes Control Inf. Sci., vol. 81, Springer, Berlin, 1986, pp. 17–21. MR**890965**, DOI https://doi.org/10.1007/BFb0007078 - A. Ya. Dorogovtsev,
*Asymptotic behavior of the solutions of the Cauchy problem for an abstract stochastic differential equation*, Teor. Veroyatnost. i Mat. Statist.**38**(1988), 31–34, 134 (Russian); English transl., Theory Probab. Math. Statist.**38**(1989), 31–34. MR**947518** - A. Ya. Dorogovtsev,
*Existence of periodic solutions of an abstractly stochastic equation. Asymptotic periodicity of the solutions of the Cauchy problem*, Teor. Veroyatnost. i Mat. Statist.**39**(1988), 47–52, 126 (Russian); English transl., Theory Probab. Math. Statist.**39**(1989), 55–60. MR**947930**, DOI https://doi.org/10.1090/s0094-9000-2013-00873-4 - A. Ya. Dorogovtsev and Le Vin′Tkhuan,
*The existence of periodic and stationary regimes of discrete dynamical systems in a Banach space*, Kibernetika (Kiev)**6**(1988), 121–123, 136 (Russian, with English summary). MR**986181** - J. Neyman,
*On a statistical problem arising in routine analyses and in sampling inspections of mass production*, Ann. Math. Statistics**12**(1941), 46–76. MR**4452**, DOI https://doi.org/10.1214/aoms/1177731785 - A. Ya. Dorogovtsev and Le Vin’Tkhuan,
*Correlation functions of Gaussian Markov stationary and periodic processes in a Hilbert space*, Selected Problems in the Current Theory of Random Processes, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1988, pp. 61–65. (Russian) - M. F. Gorodniĭ and A. Ya. Dorogovtsev,
*Stationary solutions of a two-dimensional stochastic difference equation in a Banach space*, Stochastic analysis and its applications (Russian), Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1989, pp. 25–33, ii (Russian). MR**1064769** - A. Ya. Dorogovtsev,
*Èlementy obshcheĭ teorii mery i integrala*, “Vyshcha Shkola”, Kiev, 1989 (Russian). MR**995843** - A. Ya. Dorogovtsev,
*Periodic solutions of evolution differential equations that are perturbed by stochastic processes*, Ukrain. Mat. Zh.**41**(1989), no. 12, 1642–1648, 1727 (Russian); English transl., Ukrainian Math. J.**41**(1989), no. 12, 1412–1419 (1990). MR**1042961**, DOI https://doi.org/10.1007/BF01056109 - A. Ya. Dorogovtsev,
*Necessary and sufficient conditions for existence of stationary and periodic solutions of a stochastic difference equation in Hilbert space*, Comput. Math. Appl.**19**(1990), no. 1, 31–37. MR**1026779**, DOI https://doi.org/10.1016/0898-1221%2890%2990079-Y - A. Ya. Dorogovtsev,
*Stationary and periodic solutions of a stochastic difference equation in a Banach space*, Teor. Veroyatnost. i Mat. Statist.**42**(1990), 35–42 (Russian); English transl., Theory Probab. Math. Statist.**42**(1991), 39–46. MR**1069311** - A. Ya. Dorogovtsev,
*Stochastically periodic solutions of differential equations with operator coefficients*, Ukrain. Mat. Zh.**43**(1991), no. 4, 489–496 (Russian, with Ukrainian summary); English transl., Ukrainian Math. J.**43**(1991), no. 4, 451–457. MR**1117890** - A. Ya. Dorogovtsev,
*Consistency of the least squares estimator of an infinite-dimensional parameter*, Sibirsk. Mat. Zh.**33**(1992), no. 4, 65–69, 221 (Russian, with Russian summary); English transl., Siberian Math. J.**33**(1992), no. 4, 603–607 (1993). MR**1185436**, DOI https://doi.org/10.1007/BF00971125 - A. Ya. Dorogovtsev,
*Periodicheskie i statsionarnye rezhimy beskonechnomernykh determinirovannykh i stokhasticheskikh dinamicheskikh sistem*, “Vishcha Shkola”, Kiev, 1992 (Russian, with Russian and Ukrainian summaries). MR**1206004** - A. Ya. Dorogovtsev,
*Bounded and periodic solutions of some difference and differential equations*, Uspekhi Mat. Nauk**46**(1991), no. 6, 149–150. (Russian) - A. Ya. Dorogovtsev,
*Mathematical Analysis*, vol. I, “Lybid”, Kyiv, 1993; vol. II, 1994. (Russian) - A. Ya. Dorogovtsev,
*On asymptotic normality of the least square estimators of an infinite-dimensional parameter*, Ukrainian Math. J.**45**(1993), no. 1, 48–58. MR**1426569** - A. Ya. Dorogovtsev,
*Periodic and bounded solutions of the Riccati operator equation*, Ukraïn. Mat. Zh.**45**(1993), no. 2, 239–242 (Russian, with Russian and Ukrainian summaries); English transl., Ukrainian Math. J.**45**(1993), no. 2, 255–259. MR**1232407**, DOI https://doi.org/10.1007/BF01060981 - A. Ya. Dorogovtsev,
*Stationary and periodic solutions of the Riccati operator equation with random perturbation*, Ukraïn. Mat. Zh.**45**(1993), no. 5, 609–615 (Russian, with English and Ukrainian summaries); English transl., Ukrainian Math. J.**45**(1993), no. 5, 662–670 (1994). MR**1247681**, DOI https://doi.org/10.1007/BF01058204 - A. Ya. Dorogovtsev and M. F. Gorodniĭ,
*Bounded solutions of the operator Volterra chain*, Uspekhi Mat. Nauk**49**(1994), no. 4, 85. - A. Ya. Dorogovtsev,
*Stationary and periodic solutions of linear differential operator equations*, Proceedings of the Second Ukrainian–Hungarian Conference on “New Trends in Probability Theory and Mathematical Statistics”, September 25–October 2, 1992, Mukachevo, Ukraine, TViMS, Kiev, 1994, pp. 50–54. - A. Ya. Dorogovtsev and T. A. Petrova,
*Bound and periodic solutions of the Riccati equation in Banach space*, J. Appl. Math. Stochastic Anal.**8**(1995), no. 2, 195–200. MR**1330123**, DOI https://doi.org/10.1155/S1048953395000189 - M. F. Gorodniĭ and A. Ya. Dorogovtsev,
*Bounded solutions of a class of nonlinear operator difference equations*, Ukraïn. Mat. Zh.**47**(1995), no. 7, 890–896 (Russian, with English and Ukrainian summaries); English transl., Ukrainian Math. J.**47**(1995), no. 7, 1022–1029 (1996). MR**1367944**, DOI https://doi.org/10.1007/BF01084898 - A. Ya. Dorogovtsev,
*Stability of periodic solutions of operator equations with perturbation coefficients*, Exploring stochastic laws, VSP, Utrecht, 1995, pp. 111–119. MR**1713997** - A. Ya. Dorogovtsev,
*Stationary and periodic solutions of a certain class of nonlinear equations in a Banach space*, Theory Stoch. Process.**1(17)**(1995), no. 1, 17–25. - A. Ya. Dorogovtsev and T. A. Petrova,
*Bounded and periodic solutions of a Riccati-type equation in a Banach space*, Dopov. Nats. Akad. Nauk Ukraïni**9**(1995), 8–9 (Russian, with English summary). MR**1374671** - A. Ya. Dorogovtsev and T. A. Petrova,
*Bounded and periodic solutions of the operator Riccati equation with an unbounded operator*, Dopov. Nats. Akad. Nauk Ukraïni**10**(1995), 7–9 (Russian, with English summary). MR**1376464** - A. Ya. Dorogovtsev,
*On the stability of bounded and stationary solutions of equations with operator coefficients in the case where the coefficients are disturbed*, Uspekhi Mat. Nauk**50**(1995), no. 4, 103. (Russian) - A. Ya. Dorogovtsev,
*Asymptotic properties of an estimator of the compensator of a nonhomogeneous Poisson process*, Proceedings of the International Mathematical Conference dedicated to the memory of Hans Hahn, October 1994, Chernivtsi, “Ruta”, Chernivtsi, 1995, pp. 72–77. (Russian) - A. Ya. Dorogovtsev and A. G. Kukush,
*Asymptotic properties of a nonparametric estimator of the intensity of a nonhomogeneous Poisson process*, Kibernet. Sistem. Anal.**1**(1996), 91–104, 188 (Russian, with English and Ukrainian summaries); English transl., Cybernet. Systems Anal.**32**(1996), no. 1, 74–85. MR**1409534**, DOI https://doi.org/10.1007/BF02366585 - A. Ya. Dorogovtsev,
*Stability of bounded and stationary solutions of linear equations with respect to perturbations of operator coefficients*, Dokl. Akad. Nauk**345**(1995), no. 4, 448–450 (Russian). MR**1376444** - A. Ya. Dorogovtsev and T. A. Petrova,
*Bounded and periodic solutions of the Riccati operator equation with an unbounded operator*, Differ. Uravn.**33**(1997), no. 3, 309–315, 428 (Russian, with Russian summary); English transl., Differential Equations**33**(1997), no. 3, 305–311. MR**1615401** - A. Ya. Dorogovtsev,
*Stability of stationary and periodic solutions equations in Banach space*, J. Appl. Math. Stochastic Anal.**10**(1997), no. 3, 249–255. MR**1468119**, DOI https://doi.org/10.1155/S1048953397000312 - A. Ya. Dorogovtsev,
*Stationary solutions of semilinear abstract equation with random input*, Nonlinear Stud.**5**(1998), no. 2, 129–138. MR**1652614** - A. Ya. Dorogovtsev,
*Solutions, periodic in distribution, of the boundary value problem for the heat equation*, Uspekhi Mat. Nauk**53**(1998), no. 4, 176–177. (Russian) - A. Ya. Dorogovtsev,
*Periodic processes: A survey of results*, Theory Stoch. Process.**2(18)**(1996), no. 3–4, 36–53. - Anatolii Ya. Dorogovtsev,
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Published electronically:
January 4, 2006

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American Mathematical Society